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Finding the Fourth Proportional to 4,332.12, 5,978.46 and 2,469

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Solution

The fourth proportional to 4,332.12, 5,978.46 and 2,469 is: 3,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.12 : 5,978.46 = 2,469 : x
  2. Step 2: Convert to fraction form
    4,332.12/5,978.46 = 2,469/x
  3. Step 3: Cross multiply
    4,332.12x = 5,978.46 × 2,469
  4. Step 4: Simplify right side
    4,332.12x = 14,760,817.74
  5. Step 5: Solve for x
    x = 14,760,817.74/4,332.12
  6. Step 6: Final answer
    x = 3,407.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.